Hamid has three boxes of fruit. Box a weighs 5/2kg more than box B and boxB weighs 41/4kg more than box C. The total weight of the boxes is195/4kg.Howmany kg does box a weighs.?

I will assume that 41/4 is to mean 4 1/4 or 17/4

weight of box C ---- x
weight of box B -----(17/4)x
weight of box A ---- (5/2)(17/4)x or (75/8)x

total weight : 19 5/4 kg or 195/4 kg ??? , the way you typed it. I was going to make the same assumption as above, but why would it be
19 5/4 , that would be 20 1/4

x + 17x/4 + 75x/8 = 195/4
multiply each term by 8
8x + 34x + 75x = 390
110x =390
x = 39/11

sub back into my definitions.
( I still think there is a typo, make the necessary changes)
btw, look at this post from a few years ago
http://www.jiskha.com/display.cgi?id=1405088412

39/11

To find the weight of box A, we need to follow these steps:

Step 1: Assign variables
Let's assign variables to the weights of the boxes:
- Let's say the weight of box C is x kg.
- Box B weighs 41/4 kg more than box C, so the weight of box B is x + 41/4 kg.
- Box A weighs 5/2 kg more than box B, so the weight of box A is x + 41/4 + 5/2 kg.

Step 2: Set up an equation
The total weight of the three boxes is given as 195/4 kg. So we can set up the equation: x + (x + 41/4) + (x + 41/4 + 5/2) = 195/4.

Step 3: Solve the equation
Let's solve the equation:
x + x + 41/4 + x + 41/4 + 5/2 = 195/4
3x + 82/4 + 5/2 = 195/4
3x + 82/4 + 10/4 = 195/4
3x + 92/4 = 195/4
3x = 195/4 - 92/4
3x = 103/4
x = (103/4) / 3
x = 103/12

So the weight of box C (x) is 103/12 kg.

Step 4: Calculate the weight of box A
Now that we know the weight of box C, we can calculate the weight of box A:
Weight of box A = x + 41/4 + 5/2
Weight of box A = (103/12) + 41/4 + 5/2
Weight of box A = (103/12) + (41/4) + (30/12)
Weight of box A = (103 + 123 + 30)/12
Weight of box A = 256/12
Weight of box A = 64/3

So, box A weighs 64/3 kg.